mg to mL Converter
Convert between milligrams and milliliters using medication concentration for dosing. Enter values for instant results with step-by-step formulas.
Reviewed by Manoj Kumar, Mathematics Educator
Formula
Volume (mL) = Dose (mg) / Concentration (mg/mL)
The volume of liquid medication to administer equals the prescribed dose in milligrams divided by the concentration of the solution in milligrams per milliliter. The concentration is found on the medication label and indicates how much active ingredient is dissolved in each milliliter of solution.
Worked Examples
Example 1: Pediatric Amoxicillin Dose
Problem:A child needs 400 mg of amoxicillin. The suspension is labeled 250 mg/5 mL. How many mL should be given?
Solution:Concentration = 250 mg / 5 mL = 50 mg/mL\nVolume = Dose / Concentration = 400 mg / 50 mg/mL = 8 mL\nVerification: 8 mL x 50 mg/mL = 400 mg (correct)
Result:Administer 8 mL (1.6 teaspoons) of the amoxicillin suspension
Example 2: Injectable Morphine Calculation
Problem:A patient is prescribed 6 mg of morphine IV. The vial contains 10 mg/mL. What volume should be drawn?
Solution:Concentration = 10 mg/mL\nVolume = Dose / Concentration = 6 mg / 10 mg/mL = 0.6 mL\nVerification: 0.6 mL x 10 mg/mL = 6 mg (correct)
Result:Draw 0.6 mL from the morphine vial using a calibrated syringe
References
Reviewed by Manoj Kumar, Mathematics Educator · Editorial policy